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(北京工業(yè)大學(xué)建筑工程學(xué)院 100022)
【提要】探討了以預(yù)應(yīng)力和截面尺寸為設(shè)計(jì)變量的索承網(wǎng)殼結(jié)構(gòu)截面面積與索力同時(shí)優(yōu)化的設(shè)計(jì)問題。建立了該結(jié)構(gòu)優(yōu)化設(shè)計(jì)的數(shù)學(xué)模型，采用分層優(yōu)化算法進(jìn)行求解。第一層以預(yù)應(yīng)力為設(shè)計(jì)變量，采用基于連續(xù)變量的復(fù)形法求解；第二層以截面面積為設(shè)計(jì)變量，采用改進(jìn)的離散變量兩級優(yōu)化方法求解。算例表明，方法具有較好的計(jì)算效率和收斂性，可供索拱結(jié)構(gòu)、張弦梁結(jié)構(gòu)等空間雜交索結(jié)構(gòu)體系的優(yōu)化設(shè)計(jì)借鑒。
【關(guān)鍵詞】 索承網(wǎng)殼 分層優(yōu)化法 構(gòu)件截面 預(yù)應(yīng)力
Optimal Design of Cablesupported Lattice Shells on Section Sizes and Cable Forces/Li Yongmei,Zhang Yigang(College of Civil Engineering and Architecture,Beijing University of Technology,Beijing 100022,China)
Abstract:Multilevel optimization method on the area and the cable force is developed for cablesupported lattice shells. The solution process is divided into two levels. On level 1 the prestress variables are optimized with complex method. On level 2 the area variables are optimized with advanced two level optimization method for discrete variables. The result of numerical analysis shows that it is very effective to be used in the optimal design of cablesupported lattice shells with stable convergence. It can be used for reference to spatial hybrid cable structures,such as cablearch structures,beam string structures and so on.
Keywords:cablesupported lattice shells; multilevel optimization method; shell member
section; prestress
*國家自然科學(xué)基金資助項(xiàng)目(50278004)；北京工業(yè)大學(xué)青年科研基金資助項(xiàng)目(97004012200501)。